Stability analysis and synthesis for scalar linear systems with a quantized feedback

2003 ◽  
Author(s):  
F. Fagnani ◽  
S. Zampieri
Keyword(s):  
Stability Analysis ◽  
Linear Systems ◽  
Quantized Feedback ◽  
Analysis And Synthesis

Applications and Techniques of Inners to Stability, Analysis, and Synthesis

1975 ◽  
Vol 97 (3) ◽  
pp. 249-256 ◽  
Author(s):  
M. R. Clark
Keyword(s):  
Stability Analysis ◽  
Linear Systems ◽  
Discrete Systems ◽  
Analysis Method ◽  
Analysis And Synthesis

Recently, E. I. Jury has developed an analysis method for linear systems based on the concept of Inners. His approach uniformly treats both continuous and discrete systems while being computationally simpler than previous techniques. The aim of this paper is to introduce and explain some of the more general applications of the Inners method to problems in stability, analysis, and synthesis of linear systems.

scholarly journals ℋ∞Performance and Stability Analysis of Linear Systems with Interval Time-Varying Delays and Stochastic Parameter Uncertainties

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
M. J. Park ◽  
O. M. Kwon ◽  
Ju H. Park ◽  
S. M. Lee ◽  
E. J. Cha
Keyword(s):  
Stability Analysis ◽  
Linear Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Parameter Uncertainties ◽  
Interval Time ◽  
Stochastic Parameter ◽  
Stochastic Properties ◽  
Random Change

This paper deals with the problems ofℋ∞performance and stability analysis for linear systems with interval time-varying delays. It is assumed that the parameter uncertainties are of stochastic properties to represent random change of various environments. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative criteria of the concerned systems are introduced with the framework of linear matrix inequalities (LMIs). Four numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.

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